Quantum gravity equation in Schrodinger form in minisuperspace description

被引:3
|
作者
Biswas, S [1 ]
Shaw, A
Modak, B
Biswas, D
机构
[1] Univ Kalyani, Dept Phys, Kalyani 741235, W Bengal, India
[2] IUCAA, Poona 411007, Maharashtra, India
关键词
quantum cosmology; quantum gravity; time; minisuperspace; wavefunction of the universe PACS No.-04.60; 98.80; Hw;
D O I
10.1023/A:1001902620253
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We start from the classical Hamiltonian constraint of general relativity to obtain the Einstein-Hamiltonian-Jacobi equation. We obtain a time parameter prescription demanding that geometry itself determines the time, not the matter field, such that the time so defined being equivalent to the time that enters into the Schrodinger equation. Using a semiclassical approximation we obtain an equation for quantum gravity in Schrodinger form containing time. We restrict ourselves to a minisuperspace description. Unlike matter held equation our equation is equivalent to the Wheeler-DeWitt equation in the sense that our solutions reproduce also the wavefunction of the Wheeler-DeWitt equation provided one evaluates the normalization constant according to the wormhole dominance proposal recently proposed by us.
引用
收藏
页码:2167 / 2187
页数:21
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